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Finding the Fourth Proportional to 1,140.10, 1,573.73 and 709.26

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Solution

The fourth proportional to 1,140.10, 1,573.73 and 709.26 is: 979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.10 : 1,573.73 = 709.26 : x
  2. Step 2: Convert to fraction form
    1,140.10/1,573.73 = 709.26/x
  3. Step 3: Cross multiply
    1,140.10x = 1,573.73 × 709.26
  4. Step 4: Simplify right side
    1,140.10x = 1,116,183.74
  5. Step 5: Solve for x
    x = 1,116,183.74/1,140.10
  6. Step 6: Final answer
    x = 979.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.